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Finding the Fourth Proportional to 6,762.92, 9,327.68 and 5,820.27

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Solution

The fourth proportional to 6,762.92, 9,327.68 and 5,820.27 is: 8,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.92 : 9,327.68 = 5,820.27 : x
  2. Step 2: Convert to fraction form
    6,762.92/9,327.68 = 5,820.27/x
  3. Step 3: Cross multiply
    6,762.92x = 9,327.68 × 5,820.27
  4. Step 4: Simplify right side
    6,762.92x = 54,289,586.97
  5. Step 5: Solve for x
    x = 54,289,586.97/6,762.92
  6. Step 6: Final answer
    x = 8,027.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.